Atkin-Lehner |
19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
32129c |
Isogeny class |
Conductor |
32129 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59040 |
Modular degree for the optimal curve |
Δ |
-7080358044619 = -1 · 197 · 892 |
Discriminant |
Eigenvalues |
-2 0 -1 1 -5 2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2527,-118318] |
[a1,a2,a3,a4,a6] |
Generators |
[38:180:1] |
Generators of the group modulo torsion |
j |
37933056/150499 |
j-invariant |
L |
2.1296211634586 |
L(r)(E,1)/r! |
Ω |
0.37823986244245 |
Real period |
R |
0.70379320601832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1691a1 |
Quadratic twists by: -19 |